Overivew of Rational Functions

The video tutorial covers rational functions, focusing on the reciprocal function and its properties, including domain, range, and asymptotes. It explains how transformations affect these properties and delves into identifying vertical and horizontal asymptotes. The tutorial also explores complex rational functions, slant asymptotes, and the concept of discontinuities, providing methods to find intercepts and simplify expressions.

What is the domain of the reciprocal function y = 1 / x?

Explain how vertical and horizontal asymptotes are affected by transformations.

What happens to the horizontal asymptote when the graph is shifted up or down?

How do transformations affect the range of a rational function?

How do you determine the horizontal asymptote using the degrees of the numerator and denominator?

Describe the process to identify vertical asymptotes in rational functions.

What is the process for finding the slant asymptote of a rational function?

Explain the concept of removable and non-removable discontinuities.

What is the significance of the leading coefficients in determining horizontal asymptotes?

What is the Y-intercept of a rational function and how is it calculated?